144850680 has 320 divisors, whose sum is σ = 554954400. Its totient is φ = 33592320.

The previous prime is 144850637. The next prime is 144850681. The reversal of 144850680 is 86058441.

144850680 is a `hidden beast` number, since 144 + 8 + 506 + 8 + 0 = 666.

144850680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144850681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 800190 + ... + 800370.

Almost surely, 2^144850680 is an apocalyptic number.

144850680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144850680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277477200).

144850680 is an abundant number, since it is smaller than the sum of its proper divisors (410103720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144850680 is a wasteful number, since it uses less digits than its factorization.

144850680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 144850680 is about 12035.3928062195. The cubic root of 144850680 is about 525.1783883586.

It can be divided in two parts, 144850 and 680, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 144850680 in words is "one hundred forty-four million, eight hundred fifty thousand, six hundred eighty".